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21323107003000 = 2353113675281919
BaseRepresentation
bin1001101100100101011000…
…01101111110101001111000
32210111110122222201022222211
410312102230031332221320
510243324210343044000
6113203411121024504
74330354320003055
oct466225415765170
983443588638884
1021323107003000
116881096013620
122484689485134
13bb89b66934ca
1453a0885ca02c
1526e9e26a57ba
hex1364ac37ea78

21323107003000 has 128 divisors (see below), whose sum is σ = 54580403404800. Its totient is φ = 7732727952000.

The previous prime is 21323107002961. The next prime is 21323107003043. The reversal of 21323107003000 is 30070132312.

It is a happy number.

It is a super-2 number, since 2×213231070030002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396041 + ... + 6677959.

It is an arithmetic number, because the mean of its divisors is an integer number (426409401600).

Almost surely, 221323107003000 is an apocalyptic number.

21323107003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323107003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290201702400).

21323107003000 is an abundant number, since it is smaller than the sum of its proper divisors (33257296401800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21323107003000 is a wasteful number, since it uses less digits than its factorization.

21323107003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282318 (or 5282304 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

Adding to 21323107003000 its reverse (30070132312), we get a palindrome (21353177135312).

The spelling of 21323107003000 in words is "twenty-one trillion, three hundred twenty-three billion, one hundred seven million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 367 440 500 550 734 1000 1100 1375 1468 1835 2200 2750 2936 3670 4037 5500 7340 8074 9175 11000 14680 16148 18350 20185 32296 36700 40370 45875 73400 80740 91750 100925 161480 183500 201850 367000 403700 504625 807400 1009250 2018500 4037000 5281919 10563838 21127676 26409595 42255352 52819190 58101109 105638380 116202218 132047975 211276760 232404436 264095950 290505545 464808872 528191900 581011090 660239875 1056383800 1162022180 1320479750 1452527725 1938464273 2324044360 2640959500 2905055450 3876928546 5281919000 5810110900 7262638625 7753857092 9692321365 11620221800 14525277250 15507714184 19384642730 21323107003 29050554500 38769285460 42646214006 48461606825 58101109000 77538570920 85292428012 96923213650 106615535015 170584856024 193846427300 213231070030 242308034125 387692854600 426462140060 484616068250 533077675075 852924280120 969232136500 1066155350150 1938464273000 2132310700300 2665388375375 4264621400600 5330776750750 10661553501500 21323107003000